基于改进最低水平线方法与遗传算法的矩形件排样优化算法

传统的最低水平线方法用于矩形件排样时可能产生较多未被利用的空白区域,造 成不必要的材料浪费。针对此缺陷,在搜索过程中引入启发式判断,实现空白区域的填充处理, 提高板材利用率。在应用遗传算法优化矩形件排样顺序时,在进化过程中采用分阶段设置遗传 算子的方法,改善算法的搜索性能与效果。通过改进最低水平线方法与基于分阶段遗传算子的 遗传算法相结合,共同求解矩形件排样问题。排样测试数据表明,所提出的矩形件排样优化算 法能够有效改善排样效果,提高材料利用率。     

THREE-DIMENSIONAL CONTAINER LOADING USING A COOPERATIVE CO-EVOLUTIONARYGENETIC ALGORITHM

This paper presents the use of a cooperative co-evolutionary genetic algorithm (CCGA) in conjunction with a heuristic rule for solving a 3D container loading or bin packing problem. Unlike previous works, which concentrate on using either a heuristic rule or an optimization technique to find an optimal sequence of packages which must be loaded into the containers, the proposed heuristic rule is used to partition the entire loading sequence into a number of shorter sequences. Each partitioned sequence is then represented by a species member in the CCGA search. The simulation results indicate that the use of the heuristic rule and the CCGA is highly efficient in terms of the compactness of packages in comparison to the results given by a standard genetic algorithm search. In addition, this helps to confirm that the CCGA is also suitable for use in a sequence-based optimization problem.     

考虑搬运车辆空载的多行设备布局设计

对于多行设备布局问题,通过对搬运车辆运行情况的分析,建立的模型中以搬运设备的重载运行和空载运行的费用之和最小作为目标函数,设计了相应的遗传算法来求解。通过一个实例进行了模拟计算,进一步与原有模型的仿真结果进行了比较。比较结果说明了利用该模型得到的设备布置方案要优于采用原有模型得到的布置方案。     

Bacterial Foraging Optimization Approach to Portfolio Optimization

In this paper we propose a heuristic approach based on bacterial foraging optimization (BFO) in order to find the efficient frontier associated with the portfolio optimization (PO) problem. The PO model with cardinality and bounding constraints is a mixed quadratic and integer programming problem for which no exact algorithms can solve in an efficient way. Consequently, various heuristic algorithms, such as genetic algorithms and particle swarm optimization, have been proposed in the past. This paper aims to examine the potential of a BFO algorithm in solving the PO problem. BFO is a new swarm intelligence technique that has been successfully applied to several real world problems. Through three operations, chemotaxis, reproduction, and elimination-dispersal, the proposed BFO algorithm can effectively solve a PO problem. The performance of the proposed approach was evaluated in computational tests on five benchmark data sets, and the results were compared to those obtained from existing heuristic algorithms. The proposed BFO algorithm is found to be superior to previous heuristic algorithms in terms of solution quality and time.     

Observing the effect of interprocess communication in auto controlled ant colony optimization‐based scheduling on computational grid

Computational grids allow the sharing of geographically distributed computational resources in an efficient, reliable, and secure manner. Grid is still in its infancy, and there are many problems associated with the computational grid, namely job scheduling, resource management, information service, information security, routing, fault tolerance, and many more. Scheduling of jobs on grid nodes is an NP‐class problem warranting for heuristic and meta‐heuristic solution approach. In the proposed work, a meta‐heuristic technique, auto controlled ant colony optimization, has been applied to solve this problem. The work observes the effect of interprocess communication in process to optimize turnaround time of the job. The proposed model has been simulated in Matlab. For the different scenarios in computational grid, results have been analyzed. Result of the proposed model is compared with another meta‐heuristic technique genetic algorithm that has been applied for the same purpose. It is found that auto controlled ant colony optimization not only gives better solution in comparison to genetic algorithm, but also converges faster because initial solution itself is good because of constructive and decision‐based policy adapted by the former. Concurrency and Computation: Practice and Experience, 2012.© 2012 Wiley Periodicals, Inc.     

Algorithms for a special class of state-dependent shortest path problems with an application to the train routing problem

We study the state-dependent shortest path problem and focus on its application to the Single Train Routing Problem consisting of a rail network with only double-track segments, where the objective is to route one train through an empty network as fast as possible. We show that the Single Train Routing Problem is NP-hard. We investigate the solution properties and present sufficient conditions for optimality. Different conditions on the parameters are given to guarantee that certain local route selection is optimal. Then, a dynamic programming heuristic is introduced and conditions when the proposed heuristic can obtain the optimal solution in polynomial time are also discussed. Experimental results show the efficiency of the proposed heuristics for general problem settings.     

Minimizing makespan subject to minimum flowtime on two identical parallel machines

We consider the problem of scheduling jobs on two parallel identical machines where an optimal schedule is defined as one that gives the smallest makespan (the completion time of the last job) among the set of schedules with optimal total flowtime (the sum of the completion times of all jobs). We propose an algorithm to determine optimal schedules for the problem, and describe a modified multifit algorithm to find an approximate solution to the problem in polynomial computational time. Results of a computational study to compare the performance of the proposed algorithms with a known heuristic shows that the proposed heuristic and optimization algorithms are quite effective and efficient in solving the problem.Scope and purposeMultiple objective optimization problems are quite common in practice. However, while solving scheduling problems, optimization algorithms often consider only a single objective function. Consideration of multiple objectives makes even the simplest multi-machine scheduling problems NP-hard. Therefore, enumerative optimization techniques and heuristic solution procedures are required to solve multi-objective scheduling problems. This paper illustrates the development of an optimization algorithm and polynomially bounded heuristic solution procedures for the scheduling jobs on two identical parallel machines to hierarchically minimize the makespan subject to the optimality of the total flowtime.     

基于蚁群优化的二分网络社区挖掘

近年来,网络社区挖掘得到了极大的关注,尤其是针对二分网络的社区挖掘。二分网络社区挖掘对于研究复杂网络有非常重要的理论意义和实用价值。提出了一个基于蚁群优化的二分网络社区挖掘算法。该算法首先将二分网络社区挖掘问题转化成一个优化问题,建立一个可供蚂蚁搜索的图模型。同时,根据顶点的拓扑结构定义启发式信息。每只蚂蚁根据每条路径上的信息素和启发式信息选择路径,构造出一个社区的划分,再用二分模块度去衡量社区划分的优劣。实验结果表明,该算法不但可以较准确地识别二分网络的社区数。而且可以获得高质量的社区划分。     

求解仿真优化问题的知识型启发式搜索方法

仿真优化研究基于仿真的目标优化问题,已经成为系统仿真和运筹学等领域共同关注的热点和前沿课题.针对离散事件动态系统仿真优化中的难点问题,提出了一种全新的知识型启发式搜索方法.采用知识模型和启发式搜索模型相结合的集成建模思路,以启发式搜索模型为基础,同时突出知识模型的作用,将启发式搜索模型和知识模型进行优化组合、优势互补,以提高启发式搜索技术的效率.基于期望值模型的数值仿真,验证了方法的可行性和有效性.仿真结果表明,无论是求解质量还是求解速度,都优于其它几种现有方法.研究结果表明,将知识模型合理地嵌入到现有启发式搜索方法中,可以有效地解决复杂的仿真优化问题.     

SOLVING THE OPEN SHOP SCHEDULING PROBLEM VIA A HYBRID GENETIC-VARIABLE NEIGHBORHOOD SEARCH ALGORITHM

In this article, a hybrid metaheuristic method for solving the open shop scheduling problem (OSSP) is proposed. The optimization criterion is the minimization of makespan and the solution method consists of four components: a randomized initial population generation, a heuristic solution included in the initial population acquired by a Nawaz-Enscore-Ham (NEH)-based heuristic for the flow shop scheduling problem, and two interconnected metaheuristic algorithms: a variable neighborhood search and a genetic algorithm. To our knowledge, this is the first hybrid application of genetic algorithm (GA) and variable neighborhood search (VNS) for the open shop scheduling problem. Computational experiments on benchmark data sets demonstrate that the proposed hybrid metaheuristic reaches a high quality solution in short computational times. Moreover, 12 new hard, large-scale open shop benchmark instances are proposed that simulate realistic industrial cases.     

Robust berth scheduling at marine container terminals via hierarchical optimization

In this paper, we present a mathematical model and a solution approach for the discrete berth scheduling problem, where vessel arrival and handling times are not known with certainty. The proposed model provides a robust berth schedule by minimizing the average and the range of the total service times required for serving all vessels at a marine container terminal. Particularly, a bi-objective optimization problem is formulated such that each of the two objective functions contains another optimization problem in its definition. A heuristic algorithm is proposed to solve the resulting robust berth scheduling problem. Simulation is utilized to evaluate the proposed berth scheduling policy as well as to compare it to three vessel service policies usually adopted in practice for scheduling under uncertainty.     

A new approach for solving set covering problem using jumping particle swarm optimization method

The set covering problem (SCP) is a well known classic combinatorial NP-hard problem, having practical application in many fields. To optimize the objective function of the SCP, many heuristic, meta heuristic, greedy and approximation approaches have been proposed in the recent years. In the development of swarm intelligence, the particle swarm optimization is a nature inspired optimization technique for continuous problems and for discrete problems we have the well known discrete particle swarm optimization (DPSO) method. Aiming towards the best solution for discrete problems, we have the recent method called jumping particle swarm optimization (JPSO). In this DPSO the improved solution is based on the particles attraction caused by attractor. In this paper, a new approach based on JPSO is proposed to solve the SCP. The proposed approach works in three phases: for selecting attractor, refining the feasible solution given by the attractor in order to reach the optimality and for removing redundancy in the solution. The proposed approach has been tested on the benchmark instances of SCP and compared with best known methods. Computational results show that it produces high quality solution in very short running times when compared to other algorithms.     

求解加权圆集布局问题的快速启发式搜索算法

加权圆集布局问题是基于性能驱动的一类布局问题,由于其NP-hard属性,难以在多项式时间内求解,提出一种快速启发式搜索算法。权矩阵的行向量1范数作为首次赌轮选择圆的启发信息,依次以权矩阵的当前行（其行号等于当前选择圆的序号）元素作为下次赌轮选择的启发信息,利用图形学理论给出低计算复杂度的定位规则,进而基于该定序定位规则提出一种启发式搜索算法,以求得该问题的最优解。数值实验表明,该算法的性能优于已有算法。     

附带翻转工位双边装配线蚁群算法优化设计

双边装配线应用广泛,翻转工位操作能有效降低部分零件装配难度与操作风险,但增加了设计难度。基于此,研究了附带翻转工位操作的挖掘机底盘双边装配线规划设计问题,针对该问题提出了一种改进蚁群算法求解。给出了问题求解的启发式任务分配规则,提出可采用启发式任务选择规则以提高算法收敛速率。进而分析某型挖掘机底盘装配线得出先后约束关系图,将问题抽象为双边装配线优化设计问题。随后,采用两种蚁群算法进行附带翻转工位的装配线优化,分析比较了两种算法因结构差异对优化结果所造成的影响。     

An AND/OR-graph Approach to the Container Loading Problem

The container loading problem consists of packing boxes of various sizes into available containers in such a way as to optimize an objective function. In this paper we deal with the special case where there is just one available container and the objective is to maximize the total volume (or the total utility value, supposing that each box has a utility value) of the loaded boxes. We firstly present three heuristic solution methods for the unconstrained problem. Two of them solve the original three-dimensional problem by layers and by stacks reducing it into several problems with lower dimensions. The third one consists of representing possible loading patterns as complete paths in an AND/OR-graph. Bounds and heuristics are proposed in order to reduce the solution space. A proper heuristic is also given to treat the constrained problem by using the AND/OR-graph approach. Moreover, computational results are presented by solving a number of examples.     

Two-dimensional equilibrium constraint layout using simulated annealing

This paper studies the layout optimization problem with equilibrium constraint. It is a two-dimensional packing problem with the industrial background of simplified satellite module layout design, and is known as NP-hard problem. By incorporating the heuristic neighborhood search mechanism and the adaptive gradient method into the simulated annealing procedure, a heuristic simulated annealing algorithm is put forward for this problem. The special neighborhood search mechanism can avoid the disadvantage of blind search in the simulated annealing algorithm, and the adaptive gradient method is used to execute local search and speed up finding the global optimal solution. Numerical examples are illustrated to verify the effectiveness of the proposed algorithm.     

Two-dimensional equilibrium constraint layout using simulated annealing

This paper studies the layout optimization problem with equilibrium constraint. It is a two-dimensional packing problem with the industrial background of simplified satellite module layout design, and is known as NP-hard problem. By incorporating the heuristic neighborhood search mechanism and the adaptive gradient method into the simulated annealing procedure, a heuristic simulated annealing algorithm is put forward for this problem. The special neighborhood search mechanism can avoid the disadvantage of blind search in the simulated annealing algorithm, and the adaptive gradient method is used to execute local search and speed up finding the global optimal solution. Numerical examples are illustrated to verify the effectiveness of the proposed algorithm.     

Routing of barge container ships by mixed-integer programming heuristics

We investigate the optimization of transport routes of barge container ships with the objective to maximize the profit of a shipping company. This problem consists of determining the upstream and downstream calling sequence and the number of loaded and empty containers transported between any two ports. We present a mixed integer linear programming (MILP) formulation for this problem. The problem is tackled by the commercial CPLEX MIP solver and improved variants of the existing MIP heuristics: Local Branching, Variable Neighborhood Branching and Variable Neighborhood Decomposition Search. It appears that our implementation of Variable Neighborhood Branching outperforms CPLEX MIP solver both regarding the solution quality and the computational time. All other studied heuristics provide results competitive with CPLEX MIP solver within a significantly shorter amount of time. Moreover, we present a detailed case study transportation analysis which illustrates how the proposed approach can be used by managers of barge shipping companies to make appropriate decisions and solve real life problems.     

针对移动云计算任务迁移的快速高效调度算法

计算量较大的应用程序由于需要大量的能耗,因此在电池容量有限的移动设备上运行时十分受限。云计算迁移技术是保证此类应用程序在资源有限的设备上运行的主流方法。针对无线网络中应用程序任务图的调度和迁移问题,提出了一种快速高效的启发式算法。该算法将能够迁移到云端的任务都安排在云端完成这种策略作为初始解,通过逐次计算可迁移任务在移动端运行的能耗节省量,依次将节省量最大的任务迁移到移动端,并依据任务间的通讯时间及时更新各个任务的能耗节省量。为了寻找全局最优解,构造了适用于此问题的禁忌搜索算法,给出了相应的编码方法、禁忌表、邻域解以及算法终止准则。构造的禁忌搜索算法以提出的启发式解为初始解进行全局搜索,并实现对启发解的进一步优化。通过 实验 将所提方法与无迁移、随机迁移、饱和迁移3类算法进行对比,结果表明提出的启发式算法能够快速有效地给出能耗更小的解。例如,在宽度为10的任务图上,当深度为8时,无迁移、随机迁移与饱和迁移的能耗分别为5461、3357和2271能量单位,而给出的启发解对应的能耗仅为2111。在此基础上禁忌搜索算法又将其能耗降低到1942, 这进一步说明了提出的启发式算法能够产生高质量的近似解。     

求解二维装箱问题的强化学习启发式算法

二维带形装箱问题是一个经典的NP-hard的组合优化问题,该问题在实际的生活和工业生产中有着广泛的应用.研究该问题,对企业节约成本、节约资源以及提高生产效率有着重要的意义.提出了一个强化学习求解算法.新颖地使用强化学习为启发式算法提供一个初始的装箱序列,有效地改善启发式冷启动的问题.该强化学习模型能进行自我驱动学习,仅使用启发式计算的解决方案的目标值作为奖励信号来优化网络,使网络能学习到更好的装箱序列.使用简化版的指针网络来解码输出装箱序列,该模型由嵌入层、解码器和注意力机制组成.使用Actor-Critic算法对模型进行训练,提高了模型的效率.在714个标准问题实例和随机生成的400个问题实例上测试提出的算法,实验结果显示：提出的算法能有效地改善启发式冷启动的问题,性能超过当前最优秀的启发式求解算法.